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Finding the Fourth Proportional to 4,934.07, 7,390.14 and 4,549.95

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Solution

The fourth proportional to 4,934.07, 7,390.14 and 4,549.95 is: 6,814.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,934.07 : 7,390.14 = 4,549.95 : x
  2. Step 2: Convert to fraction form
    4,934.07/7,390.14 = 4,549.95/x
  3. Step 3: Cross multiply
    4,934.07x = 7,390.14 × 4,549.95
  4. Step 4: Simplify right side
    4,934.07x = 33,624,767.49
  5. Step 5: Solve for x
    x = 33,624,767.49/4,934.07
  6. Step 6: Final answer
    x = 6,814.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.